11730 has 32 divisors (see below), whose sum is σ = 31104. Its totient is φ = 2816.

The previous prime is 11719. The next prime is 11731. The reversal of 11730 is 3711.

11730 is nontrivially palindromic in base 16.

11730 is an esthetic number in base 13, because in such base its adjacent digits differ by 1.

11730 is an undulating number in base 13.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 11730.

It is not an unprimeable number, because it can be changed into a prime (11731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (972).

2¹¹⁷³⁰ is an apocalyptic number.

11730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15552).

11730 is an abundant number, since it is smaller than the sum of its proper divisors (19374).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11730 is a wasteful number, since it uses less digits than its factorization.

11730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50.

The product of its (nonzero) digits is 21, while the sum is 12.

The square root of 11730 is about 108.3051245325. The cubic root of 11730 is about 22.7212735681.

It can be divided in two parts, 11 and 730, that added together give a triangular number (741 = T₃₈).

The spelling of 11730 in words is "eleven thousand, seven hundred thirty".